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14401143024 = 2431997162791
BaseRepresentation
bin11010110100110000…
…00000000011110000
31101011122021212100120
431122120000003300
5213443143034044
610341002250240
71016605460502
oct153230000360
941148255316
1014401143024
1161200849a4
12295aab6980
131486760808
149a8897d72
15594470519
hex35a6000f0

14401143024 has 80 divisors (see below), whose sum is σ = 39564967680. Its totient is φ = 4500817920.

The previous prime is 14401143023. The next prime is 14401143067. The reversal of 14401143024 is 42034110441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14401142985 and 14401143003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14401143023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7069 + ... + 169859.

It is an arithmetic number, because the mean of its divisors is an integer number (494562096).

Almost surely, 214401143024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14401143024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19782483840).

14401143024 is an abundant number, since it is smaller than the sum of its proper divisors (25163824656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14401143024 is a wasteful number, since it uses less digits than its factorization.

14401143024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162918 (or 162912 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14401143024 its reverse (42034110441), we get a palindrome (56435253465).

The spelling of 14401143024 in words is "fourteen billion, four hundred one million, one hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 97 114 152 194 228 291 304 388 456 582 776 912 1164 1552 1843 2328 3686 4656 5529 7372 11058 14744 22116 29488 44232 88464 162791 325582 488373 651164 976746 1302328 1953492 2604656 3093029 3906984 6186058 7813968 9279087 12372116 15790727 18558174 24744232 31581454 37116348 47372181 49488464 63162908 74232696 94744362 126325816 148465392 189488724 252651632 300023813 378977448 600047626 757954896 900071439 1200095252 1800142878 2400190504 3600285756 4800381008 7200571512 14401143024